Advanced Finance Theories

For PhD finance courses in business schools, there is equal emphasis placed on mathematical rigour as well as economic reasoning. Advanced Finance Theories provides modern treatments to five key areas of finance theories in Merton's collection of continuous time work, viz. portfolio selection and capital market theory, optimum consumption and intertemporal portfolio selection, option pricing theory, contingent claim analysis of corporate finance, intertemporal CAPM, and complete market general equilibrium. Where appropriate, lectures notes are supplemented by other classical text such as Ingersoll (1987) and materials on stochastic calculus.

Contents:Utility TheoryPricing Kernel and Stochastic Discount FactorRisk MeasuresConsumption and Portfolio SelectionOptimum Demand and Mutual Fund TheoremMean–Variance FrontierSolving Black–Scholes with Fourier TransformCapital Structure TheoryGeneral EquilibriumDiscontinuity in Continuous TimeSpanning and Capital Market Theories
Readership: Graduates, doctoral students, researchers, academic and professionals in theoretical financial modeling in mainstream finance or derivative securities.
Keywords:Intertemporal Portfolio Selection;Capital Structure;General Equilibrium;Spanning;Mutual Fund Theorem;Jumps;Incomplete MarketsReview:Key Features:Complete and explicit exposition of classical finance theories core to theoretical finance researchModern treatments to some derivationsSupplementary coverage on key related publications and more recent finance research questionsDetailed proofs and explicit coverage to aid understanding by first year PhD studentsList of exercises with suggested solutions